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Finding the Fourth Proportional to 10,527.81, 15,792.56 and 6,145.71

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Solution

The fourth proportional to 10,527.81, 15,792.56 and 6,145.71 is: 9,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.81 : 15,792.56 = 6,145.71 : x
  2. Step 2: Convert to fraction form
    10,527.81/15,792.56 = 6,145.71/x
  3. Step 3: Cross multiply
    10,527.81x = 15,792.56 × 6,145.71
  4. Step 4: Simplify right side
    10,527.81x = 97,056,463.19
  5. Step 5: Solve for x
    x = 97,056,463.19/10,527.81
  6. Step 6: Final answer
    x = 9,219.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.